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Thompson, Abigail A.

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Author ID: thompson.abigail-a Recent zbMATH articles by "Thompson, Abigail A."
Published as: Thompson, A.; Thompson, Abigail; Thompson, Abigail A.
Homepage: https://www.math.ucdavis.edu/~thompson/
External Links: Women in Mathematics · MGP · Wikidata · MacTutor
Documents Indexed: 36 Publications since 1987

Publications by Year

Citations contained in zbMATH

31 Publications have been cited 382 times in 283 Documents Cited by Year
Thin position for 3-manifolds. Zbl 0818.57013
Scharlemann, Martin; Thompson, Abigail
61
1994
Thin position and the recognition problem for \(S^ 3\). Zbl 0849.57009
Thompson, Abigail
49
1994
Heegaard splittings of \((\text{surface})\times I\) are standard. Zbl 0814.57010
Scharlemann, Martin; Thompson, Abigail
46
1993
Link genus and the Conway moves. Zbl 0693.57004
Scharlemann, Martin; Thompson, Abigail
34
1989
Thin position and bridge number for knots in the 3-sphere. Zbl 0867.57009
Thompson, Abigail
27
1997
Unknotting number, genus and companion tori. Zbl 0616.57003
Scharlemann, Martin; Thompson, Abigail
17
1988
Thin position and Heegaard splittings of the 3-sphere. Zbl 0820.57005
Scharlemann, Martin; Thompson, Abigail
16
1994
The disjoint curve property and genus 2 manifolds. Zbl 0935.57022
Thompson, Abigail
15
1999
Finding disjoint Seifert surfaces. Zbl 0654.57005
Scharlemann, Martin; Thompson, Abigail
14
1988
Levelling an unknotting tunnel. Zbl 0958.57007
Goda, Hiroshi; Scharlemann, Martin; Thompson, Abigail
13
2000
Stabilization of Heegaard splittings. Zbl 1177.57018
Hass, Joel; Thompson, Abigail; Thurston, William
12
2009
Detecting unknotted graphs in 3-space. Zbl 0751.05033
Scharlemann, Martin; Thompson, Abigail
11
1991
Unknotting tunnels and Seifert surfaces. Zbl 1047.57008
Scharlemann, Martin; Thompson, Abigail
10
2003
On tunnel number one knots that are not \((1, n)\). Zbl 1218.57008
Johnson, Jesse; Thompson, Abigail
9
2011
Fibered knots and potential counterexamples to the property 2R and slice-ribbon conjectures. Zbl 1214.57008
Gompf, Robert E.; Scharlemann, Martin; Thompson, Abigail
7
2010
Surfaces, submanifolds, and aligned Fox reimbedding in non-Haken 3-manifolds. Zbl 1071.57015
Scharlemann, Martin; Thompson, Abigail
5
2005
On the additivity of knot width. Zbl 1207.57016
Scharlemann, Martin; Thompson, Abigail
5
2004
Knots with unknotting number one are determined by their complements. Zbl 0677.57006
Thompson, Abigail
5
1989
Surgery on a knot in (surface \(\times I\)). Zbl 1197.57011
Scharlemann, Martin; Thompson, Abigail A.
4
2009
Property P for the band-connect sum of two knots. Zbl 0628.57005
Thompson, Abigail
4
1987
Algorithmic recognition of 3-manifolds. Zbl 0890.57027
Thompson, Abigail
3
1998
A polynomial invariant of graphs in 3-manifolds. Zbl 0773.57002
Thompson, Abigail
3
1992
Thinning genus two Heegaard spines in \(S^ 3\). Zbl 1048.57002
Scharlemann, Martin; Thompson, Abigail
2
2003
A necessary and sufficient condition for a 3-manifold to have Heegaard genus one. Zbl 0694.57006
Hass, Joel; Thompson, Abigail
2
1989
Compressing handlebodies with holes. Zbl 0683.57004
Menasco, W.; Thompson, A.
2
1989
A new invariant of 4-manifolds. Zbl 1421.57031
Kirby, Robion; Thompson, Abigail
1
2018
3-manifolds with Heegaard splittings of distance two. Zbl 1282.57026
Rubinstein, J. Hyam; Thompson, Abigail
1
2013
Knots and \(k\)-width. Zbl 1189.57005
Hass, Joel; Rubinstein, J. Hyam; Thompson, Abigail
1
2009
Invariants of curves in \(\mathbb RP^2\) and \(\mathbb R^2\). Zbl 1128.53010
Thompson, Abigail
1
2006
Neon bulbs and the unknotting of arcs in manifolds. Zbl 0886.57003
Hass, Joel; Thompson, Abigail
1
1997
Thurston norm minimizing surfaces and skein trees for links in \(S^ 3\). Zbl 0686.57004
Thompson, Abigail
1
1989
A new invariant of 4-manifolds. Zbl 1421.57031
Kirby, Robion; Thompson, Abigail
1
2018
3-manifolds with Heegaard splittings of distance two. Zbl 1282.57026
Rubinstein, J. Hyam; Thompson, Abigail
1
2013
On tunnel number one knots that are not \((1, n)\). Zbl 1218.57008
Johnson, Jesse; Thompson, Abigail
9
2011
Fibered knots and potential counterexamples to the property 2R and slice-ribbon conjectures. Zbl 1214.57008
Gompf, Robert E.; Scharlemann, Martin; Thompson, Abigail
7
2010
Stabilization of Heegaard splittings. Zbl 1177.57018
Hass, Joel; Thompson, Abigail; Thurston, William
12
2009
Surgery on a knot in (surface \(\times I\)). Zbl 1197.57011
Scharlemann, Martin; Thompson, Abigail A.
4
2009
Knots and \(k\)-width. Zbl 1189.57005
Hass, Joel; Rubinstein, J. Hyam; Thompson, Abigail
1
2009
Invariants of curves in \(\mathbb RP^2\) and \(\mathbb R^2\). Zbl 1128.53010
Thompson, Abigail
1
2006
Surfaces, submanifolds, and aligned Fox reimbedding in non-Haken 3-manifolds. Zbl 1071.57015
Scharlemann, Martin; Thompson, Abigail
5
2005
On the additivity of knot width. Zbl 1207.57016
Scharlemann, Martin; Thompson, Abigail
5
2004
Unknotting tunnels and Seifert surfaces. Zbl 1047.57008
Scharlemann, Martin; Thompson, Abigail
10
2003
Thinning genus two Heegaard spines in \(S^ 3\). Zbl 1048.57002
Scharlemann, Martin; Thompson, Abigail
2
2003
Levelling an unknotting tunnel. Zbl 0958.57007
Goda, Hiroshi; Scharlemann, Martin; Thompson, Abigail
13
2000
The disjoint curve property and genus 2 manifolds. Zbl 0935.57022
Thompson, Abigail
15
1999
Algorithmic recognition of 3-manifolds. Zbl 0890.57027
Thompson, Abigail
3
1998
Thin position and bridge number for knots in the 3-sphere. Zbl 0867.57009
Thompson, Abigail
27
1997
Neon bulbs and the unknotting of arcs in manifolds. Zbl 0886.57003
Hass, Joel; Thompson, Abigail
1
1997
Thin position for 3-manifolds. Zbl 0818.57013
Scharlemann, Martin; Thompson, Abigail
61
1994
Thin position and the recognition problem for \(S^ 3\). Zbl 0849.57009
Thompson, Abigail
49
1994
Thin position and Heegaard splittings of the 3-sphere. Zbl 0820.57005
Scharlemann, Martin; Thompson, Abigail
16
1994
Heegaard splittings of \((\text{surface})\times I\) are standard. Zbl 0814.57010
Scharlemann, Martin; Thompson, Abigail
46
1993
A polynomial invariant of graphs in 3-manifolds. Zbl 0773.57002
Thompson, Abigail
3
1992
Detecting unknotted graphs in 3-space. Zbl 0751.05033
Scharlemann, Martin; Thompson, Abigail
11
1991
Link genus and the Conway moves. Zbl 0693.57004
Scharlemann, Martin; Thompson, Abigail
34
1989
Knots with unknotting number one are determined by their complements. Zbl 0677.57006
Thompson, Abigail
5
1989
A necessary and sufficient condition for a 3-manifold to have Heegaard genus one. Zbl 0694.57006
Hass, Joel; Thompson, Abigail
2
1989
Compressing handlebodies with holes. Zbl 0683.57004
Menasco, W.; Thompson, A.
2
1989
Thurston norm minimizing surfaces and skein trees for links in \(S^ 3\). Zbl 0686.57004
Thompson, Abigail
1
1989
Unknotting number, genus and companion tori. Zbl 0616.57003
Scharlemann, Martin; Thompson, Abigail
17
1988
Finding disjoint Seifert surfaces. Zbl 0654.57005
Scharlemann, Martin; Thompson, Abigail
14
1988
Property P for the band-connect sum of two knots. Zbl 0628.57005
Thompson, Abigail
4
1987
all top 5

Cited by 244 Authors

20 Scharlemann, Martin G.
13 Tomova, Maggy
11 Lei, Fengchun
9 Bachman, David
9 Kobayashi, Tsuyoshi
9 Qiu, Ruifeng
9 Schultens, Jennifer
9 Taylor, Scott A.
8 Li, Tao
8 Thompson, Abigail A.
7 Ozawa, Makoto
7 Sedgwick, Eric
7 Yang, Guoqiu
6 Cho, Sangbum
6 Johnson, Jesse Edward
6 Lackenby, Marc
6 Lee, Junghoon
6 Moriah, Yoav
6 Zou, Yanqing
5 Blair, Ryan C.
5 Burton, Benjamin A.
5 Du, Kun
5 Zupan, Alexander
4 Goda, Hiroshi
4 Kalfagianni, Efstratia
4 Li, Fengling
4 Luecke, John
4 McCullough, Darryl
4 Rubinstein, J. Hyam
4 Schleimer, Saul
4 Shimokawa, Koya
3 Bleiler, Steven A.
3 Derby-Talbot, Ryan
3 Gompf, Robert E.
3 Gordon, Cameron McA.
3 Guo, Qilong
3 Hayashi, Chuichiro
3 Ishihara, Kai
3 Kang, Ensil
3 Kim, Jungsoo
3 Koda, Yuya
3 Moore, Allison H.
3 Motegi, Kimihiko
3 Rieck, Yo’av
3 Takao, Kazuto
3 Taniyama, Kouki
3 Vazquez, Mariel
2 Agol, Ian
2 Baker, Kenneth L.
2 Balm, Cheryl Jaeger
2 Benedetti, Riccardo
2 Darcy, Isabel K.
2 Dasbach, Oliver T.
2 Deruelle, Arnaud
2 E., Qiang
2 Eudave-Muñoz, Mario
2 Frigerio, Roberto
2 Gao, Xutao
2 Hass, Joel
2 Heath, Daniel J.
2 Huh, Youngsik
2 Ido, Ayako
2 Ivanov, Sergei Vladimirovich
2 Jaco, William H.
2 Jang, Hee Jeong
2 Jang, Yeonhee
2 Lee, Sang Youl
2 Lee, Sangjin
2 Li, Yang
2 Lidman, Tye
2 Lin, Xiao-Song
2 Lutz, Frank Hagen
2 Mangum, Brian S.
2 Manturov, Vassiliĭ Olegovich
2 Matsuda, Hiroshi
2 Meier, Jeffrey
2 Namazi, Hossein
2 Ni, Yi
2 Nikkuni, Ryo
2 Portmann, Fabian
2 Renard, Claire
2 Sakasai, Takuya
2 Sok, Jérémy
2 Solovej, Jan Philip
2 Wagner, Uli
2 Wilson, Robin Todd
1 Appleboim, Eli
1 Armas-Sanabria, Lorena
1 Askitas, Nikos
1 Bart, Anneke
1 Barthel, Senja
1 Berge, John
1 Birman, Joan S.
1 Björner, Anders
1 Bobtcheva, Ivelina
1 Borodzik, Maciej
1 Buck, Dorothy
1 Bullock, Doug
1 Campisi, Marion Moore
1 Cavicchioli, Alberto
...and 144 more Authors
all top 5

Cited in 57 Serials

45 Algebraic & Geometric Topology
44 Topology and its Applications
35 Journal of Knot Theory and its Ramifications
23 Transactions of the American Mathematical Society
22 Geometry & Topology
19 Proceedings of the American Mathematical Society
9 Geometriae Dedicata
9 Mathematische Annalen
4 Mathematical Proceedings of the Cambridge Philosophical Society
3 Chaos, Solitons and Fractals
3 Advances in Mathematics
3 Inventiones Mathematicae
3 Osaka Journal of Mathematics
3 Chinese Annals of Mathematics. Series B
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Duke Mathematical Journal
2 Michigan Mathematical Journal
2 Tokyo Journal of Mathematics
2 Geometric and Functional Analysis. GAFA
2 Bulletin of the American Mathematical Society. New Series
2 Experimental Mathematics
2 Acta Mathematica Sinica. English Series
2 Science China. Mathematics
2 Journal of Singularities
2 Winter Braids Lecture Notes
1 Israel Journal of Mathematics
1 Journal of Mathematical Physics
1 Mathematics of Computation
1 Cahiers de Topologie et Géométrie Différentielle Catégoriques
1 Compositio Mathematica
1 Journal of Combinatorial Theory. Series A
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Transactions of the Moscow Mathematical Society
1 European Journal of Combinatorics
1 Annals of Pure and Applied Logic
1 Discrete & Computational Geometry
1 Journal of the American Mathematical Society
1 Forum Mathematicum
1 Sugaku Expositions
1 The Journal of Geometric Analysis
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Expositiones Mathematicae
1 Indagationes Mathematicae. New Series
1 Topology Proceedings
1 St. Petersburg Mathematical Journal
1 Selecta Mathematica. New Series
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Revista Matemática Complutense
1 Journal of the European Mathematical Society (JEMS)
1 Journal of the Australian Mathematical Society
1 Chebyshevskiĭ Sbornik
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Topology
1 Quantum Topology
1 Axioms

Citations by Year

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